anonymous
  • anonymous
Write an equation of the sine function with: amplitude = 7 period = 3π phase shift = π vertical shift = -7
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
So lets think about what these things mean... Are you familiar with amplitude?
anonymous
  • anonymous
not really :(
anonymous
  • anonymous
OK, Amplitude is how much to 'amplify' the function by.

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anonymous
  • anonymous
or you could say, multiply.
anonymous
  • anonymous
If you have 5Sin(x) then its amplitude is 5 (the wave will hit a maximum of 5 and a minimum of -5.
anonymous
  • anonymous
ok got it
anonymous
  • anonymous
So hopefully that explains amplitude. The period is the length of a wave before it starts repeating itself. The usual period of a sine function is 2Pi as the wave will begin to repeat after that point in time. I.e. period of Sin(x) is 2Pi. Is this making sense so far?
anonymous
  • anonymous
so its 7sinx
anonymous
  • anonymous
yep, thats right, 7 sin x (for the amplitude part)
UnkleRhaukus
  • UnkleRhaukus
\[y(x)=A\sin(\omega t+\phi)+b\] \(A\) is the Amplitude \(\omega\) is the angular frequency \(\frac{\omega}{2\pi}=\)frequency of oscillation \(\tau\) is the period and \(\tau=\frac{2\pi}{\omega}\) \(\phi\) is the phase shift \(b\) is the vertical shift
anonymous
  • anonymous
You are best of taking a look at http://www.intmath.com/trigonometric-graphs/trigo-graph-intro.php. This will explain it properly.

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